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Finding the Fourth Proportional to 312,002.80, 468,004.20 and 154,198.60

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Solution

The fourth proportional to 312,002.80, 468,004.20 and 154,198.60 is: 231,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,002.80 : 468,004.20 = 154,198.60 : x
  2. Step 2: Convert to fraction form
    312,002.80/468,004.20 = 154,198.60/x
  3. Step 3: Cross multiply
    312,002.80x = 468,004.20 × 154,198.60
  4. Step 4: Simplify right side
    312,002.80x = 72,165,592,434.12
  5. Step 5: Solve for x
    x = 72,165,592,434.12/312,002.80
  6. Step 6: Final answer
    x = 231,297.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.